Finding the Third Proportional to 233,847 and 342,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,847 : 342,016.50 = 342,016.50 : x
2. Step 2: Convert to fraction form
   233,847/342,016.50 = 342,016.50/x
3. Step 3: Cross multiply
   233,847x = 342,016.50 × 342,016.50
4. Step 4: Simplify right side
   233,847x = 116,975,286,272.25
5. Step 5: Solve for x
   x = 116,975,286,272.25/233,847
6. Step 6: Final answer
   x = 500,221.45